SciPost Phys. 10, 149 (2021) ·
published 21 June 2021
We analyse the correlation function of the quantum curvature in complex
quantum systems, using a random matrix model to provide an exemplar of a
universal correlation function. We show that the correlation function diverges
as the inverse of the distance at small separations. We also define and analyse
a correlation function of mixed states, showing that it is finite but singular
at small separations. A scaling hypothesis on a universal form for both types
of correlations is supported by Monte-Carlo simulations. We relate the
correlation function of the curvature to the variance of Chern integers which
can describe quantised Hall conductance.
Submissions for which this Contributor is identified as an author:
Prof. Wilkinson: "In response to the report from..."
in Submissions | report on Correlations of quantum curvature and variance of Chern numbers